Giải PT: \(\sqrt{2x^4-3x^2+1}+\sqrt{2x^4-x^2}=4x-3\)
1)giải pt: 1+\(\dfrac{2}{3}\sqrt{x-x^2}=\sqrt{x}+\sqrt{1-x}\)
2)giải pt: \(\dfrac{x^2}{\sqrt{3x-2}}-\sqrt{3x-2}=1-x\)
Giải PT:
a) \(\sqrt{x+1}-\sqrt{x-2}=1\)
b) \(x^2-\sqrt{x^2-2}=4\)
c) \(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
giải pt
\(x^2-3x+3=\left(4+3x-\frac{4}{3}\right)\sqrt{x-1}\)
giải pt sau
a,x+y+4=2\(\sqrt{x}\)+4\(\sqrt{y-1}\)
b,\(\sqrt{x}\)+\(\sqrt{y-1}\)+\(\sqrt{z-2}\)=\(\dfrac{1}{2}\)(x+y+z)
Giải:
1)a) \(17\sqrt{3x-1}=3x\)
b) \(\sqrt{2+\sqrt{3x-5}}=\sqrt{x+1}\)
c)\(\sqrt{\dfrac{5x+7}{x+3}}=4\)
2)Giai pt :
a) x+y+12=\(4\sqrt{x}+6\sqrt{y}-1\)
b) \(\sqrt{x-a}+\sqrt{y-b}+\sqrt{z-c}=\dfrac{1}{2}\left(x+y+z\right)\)
c)\(\sqrt{x+\sqrt{14x-4y}}+\sqrt{x-\sqrt{14x-4y}}=\sqrt{14}\)
d)x-\(4\sqrt{2x+2}-2\sqrt{2-x+9}=0\)
giải pt sau
a,x+y+z+4=2\(\sqrt{x-2}\)+4\(\sqrt{y-4}\)+6\(\sqrt{z-5}\)
Giải pt : a) \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
b) \(\left(x-1\right)\sqrt{x^2+5}+x=x^2+1\)
c)\(\sqrt{x+2}+2x-10=\sqrt{2x-3}\)
d)\(\sqrt{2x-3}-\sqrt{x}=2x-6\)
e) \(\sqrt{4x^2+5x+1}-2\sqrt{x^2-x+1}=9x-3\)
giải pt sau
1, \(\sqrt{5-2x}=6\)
2,\(\sqrt{2-x}-\sqrt{x+1}=0\)
3, \(\sqrt{4x^2+4x+1}=6\)
4,\(\sqrt{x^2-10x+25}=x-2\)